To detect the similarity we facilitate the Victor and Purpura distance [1]}. The information contained in such crossing times has been studied since Poincaré [2]} and is the foundation of recurrence–based time series analysis [3]}. The Victor and Purpura distance [1]} offers a natural metric to rank and detect similarities between consecutive time windows of the crossing times [1]}, [6]}, [7]}, [8]}, [9]}, [10]}, [11]}. Using cross prediction [12]}, we exploit these similarities to estimate the current state and predict the future system's dynamics.
